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BE 110
An Introduction to Biomechanics
Fall 2005
Homework Assignment #6
Due Tuesday 11/15/05, 8AM before class
1. Reading assignment
Study the geometric interpretation of the infinitesimal strains, e.g. the strains without the non
linear form of the displacement gradients.
See Section 5.4.
2. Practice Problems
(a) A small square piece of skin with edge length 1 cm x 1 cm with constant thickness of 1 mm is
stretched in its plane by 10% in x–direction, 2 % in ydirection.
The tissue is incompressible.
Assume the deformation is homogenous (i.e. the displacement is a linear function of x, y, z).
What are the displacements in the tissue if its left lower corner remains at the origin.
What are
the Lagrangian strains?
(b) A square plate is sheared by 30
o
into a parallelogram as shown in Figure P5.9.
What are the
strain components.
(For solution see Problem 5.9).
(c) Derive an expression for the change of (infinitesimal) volume per unit tissue volume using
the infinitesimal strain components
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This note was uploaded on 03/26/2010 for the course BENG 110 taught by Professor Schmidschoenbein during the Spring '08 term at UCSD.
 Spring '08
 SCHMIDSCHOENBEIN

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